MacLane homology and topological Hochschild homology.
Maps of cotriples and a change of rings theorem
Matrices over upper triangular bimodules and Δ-filtered modules over quasi-hereditary algebras
Let Λ be a directed finite-dimensional algebra over a field k, and let B be an upper triangular bimodule over Λ. Then we show that the category of B-matrices mat B admits a projective generator P whose endomorphism algebra End P is quasi-hereditary. If A denotes the opposite algebra of End P, then the functor Hom(P,-) induces an equivalence between mat B and the category ℱ(Δ) of Δ-filtered A-modules. Moreover, any quasi-hereditary algebra whose category of Δ-filtered modules is equivalent to mat...
Maximal Orders of global dimension and Krull dimension two.
Maximal quotient rings and essential right ideals in group rings of locally finite groups.
Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p > 0. In this paper it is proved that the type I∞ part of the maximal right quotient ring of the group algebra kG is zero.
Minimal algebras of infinite representation type with preprojective component.
Mittag-Leffler modules and semi-hereditary rings
Modules commuting (via Hom) with some colimits
For every module we have a natural monomorphism and we focus our attention on the case when is also an epimorphism. Some other colimits are also considered.
Modules commuting (via Hom) with some limits
For every module M we have a natural monomorphism and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.
Modules of finite projective dimension and cocovers.
Modules over regular algebras of dimension 3.
Modules over the 4-dimensional Sklyanin algebra
Modules projectifs sur un ordre
Modules whose countably generated submodules are epimorphic images
Modules with semiregular endomorphism rings
We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
Monoid rings that are firs.
It is well known that the monoid ring of the free product of a free group and a free monoid over a skew field is a fir. We give a proof of this fact that is more direct than the proof in the literature.
Multirelative -theory and axioms for the -theory of rings.